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Topological Quantum Computing: Majorana Fermions and Beyond

Debanksh Guha, Meghansh Govil, Suraj Kumar Saw +2 more

Lecture notes in networks and systemsJan 1, 20250 citations

Braiding, Majorana fermions, Fibonacci particles and topological quantum computing

Louis Hirsch Kauffman, Samuel J. Lomonaco

Quantum Information ProcessingJun 30, 20189 citations

Quasiparticle poisoning rate in a superconducting transmon qubit involving Majorana zero modes

Xiaopei Sun, Zhaozheng Lyu, Enna Zhuo +8 more

Majorana zero modes have been attracting considerable attention because of their prospective applications in fault-tolerant topological quantum computing. In recent years, some schemes have been proposed to detect and manipulate Majorana zero modes using superconducting qubits. However, manipulating and reading the Majorana zero modes must be kept in the time window of quasiparticle poisoning. In this work, we study the problem of quasiparticle poisoning in a split transmon qubit containing hybrid Josephson junctions involving Majorana zero modes. We show that Majorana coupling will cause parity mixing and 4π Josephson effect. In addition, we obtained the expression of qubit parameter-dependent parity switching rate and demonstrated that quasiparticle poisoning can be greatly suppressed by reducing E_J/E_C via qubit design.Majorana zero modes have been attracting considerable attention because of their prospective applications in fault-tolerant topological quantum computing. In recent years, some schemes have been proposed to detect and manipulate Majorana zero modes using superconducting qubits. However, manipulating and reading the Majorana zero modes must be kept in the time window of quasiparticle poisoning. In this work, we study the problem of quasiparticle poisoning in a split transmon qubit containing hybrid Josephson junctions involving Majorana zero modes. We show that Majorana coupling will cause parity mixing and 4π Josephson effect. In addition, we obtained the expression of qubit parameter-dependent parity switching rate and demonstrated that quasiparticle poisoning can be greatly suppressed by reducing E_J/E_C via qubit design.

arXiv:2211.08094Nov 15, 20221 citation

Majorana oscillations and parity crossings in semiconductor nanowire-based transmon qubits

J. Ávila, E. Prada, P. San-Jose +1 more

We show that the microwave (MW) spectra in semiconductor-nanowire-based transmon qubits provide a strong signature of the presence of Majorana bound states in the junction.This occurs as an external magnetic field tunes the wire into the topological regime and the energy splitting of the emergent Majorana modes oscillates around zero energy owing to their wave function spatial overlap in finite-length wires.In particular, we discuss how these Majorana oscillations, and the concomitant fermion parity switches in the ground state of the junction, result in distinct spectroscopic features-in the form of an intermittent visibility of absorption lines-that strongly deviate from standard transmon behavior.In contrast, nonoscillating zero modes, such as topologically trivial Andreev bound states resulting from sufficiently smooth potentials, exhibit an overall standard transmon response.These differences in the MW response could help determine whether the junction contains topological Majoranas or not.We show that the microwave (MW) spectra in semiconductor-nanowire-based transmon qubits provide a strong signature of the presence of Majorana bound states in the junction.This occurs as an external magnetic field tunes the wire into the topological regime and the energy splitting of the emergent Majorana modes oscillates around zero energy owing to their wave function spatial overlap in finite-length wires.In particular, we discuss how these Majorana oscillations, and the concomitant fermion parity switches in the ground state of the junction, result in distinct spectroscopic features-in the form of an intermittent visibility of absorption lines-that strongly deviate from standard transmon behavior.In contrast, nonoscillating zero modes, such as topologically trivial Andreev bound states resulting from sufficiently smooth potentials, exhibit an overall standard transmon response.These differences in the MW response could help determine whether the junction contains topological Majoranas or not.

arXiv:2003.02858Physical Review ResearchSep 25, 202025 citations

Braiding of majorana fermions and topological quantum computation

Louis Hirsch Kauffman

Journal of Material Science & EngineeringNov 16, 20160 citations

Manipulation of Majorana fermions using superconducting qubits

Anton Akhmerov

Bulletin of the American Physical SocietyFeb 27, 20120 citations

Emulating Majorana Fermions Using Transmon Qubits with Application to Topological Quantum Computing

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